Applied Mathematics

Volume 3, Issue 6 (June 2012)

ISSN Print: 2152-7385   ISSN Online: 2152-7393

Google-based Impact Factor: 0.58  Citations  

New Explicit Solutions of the Generalized (2 + 1)-Dimensional Zakharov-Kuznetsov Equation

HTML  XML Download Download as PDF (Size: 85KB)  PP. 523-527  
DOI: 10.4236/am.2012.36079    5,353 Downloads   8,605 Views  Citations

ABSTRACT

his paper studies the generalized (2 + 1)-dimensional Zakharov-Kuznetsov equation using the (G'/G)-expand method, we obtain many new explicit solutions of the generalized (2 + 1)-dimensional Zakharov-Kuznetsov equation, which include hyperbolic function solutions, trigonometric function solutions and rational function solutions and so on.

Share and Cite:

G. Wang, X. Liu and Y. Zhang, "New Explicit Solutions of the Generalized (2 + 1)-Dimensional Zakharov-Kuznetsov Equation," Applied Mathematics, Vol. 3 No. 6, 2012, pp. 523-527. doi: 10.4236/am.2012.36079.

Cited by

[1] Generalized Fractional Order Differential Equations Arising in Physical Models
2018
[2] Traveling Wave Solutions for Some Nonlinear Partial Differential Equations by Using Modified (w⁄ g)-Expansion Method
2018
[3] Traveling Wave Solutions for Some Nonlinear Partial Differential Equations by Using Modified
2018
[4] Solitary wave solutions for time fractional third order modified KdV equation using two reliable techniques (G′/G)-expansion method and improved (G′/G)-expansion method
Physica A: Statistical Mechanics and its Applications, 2016
[5] New solitary wave solutions of time-fractional coupled Jaulent–Miodek equation by using two reliable methods
Nonlinear Dynamics, 2016
[6] Solitary wave solutions for time fractional third order modified KdV equation using two reliable techniques (G′/G)-expansion method and improved (G′/G) …
Physica A: Statistical Mechanics and its Applications, 2016
[7] Partially Invariant Solutions of Zakharov-Kuznetsov Equation
2015
[8] The Riccati equation method with variable expansion coefficients. I. Solving the Burgers equation
International Journal of Physical and Mathematical Sciences, 2015
[9] The Riccati equation method with variable expansion coefficients. I
2015
[10] The Basic(G'/G)-Expansion Method for the Fourth Order Boussinesq Equation
2012
[11] The Basic (G'/G)-Expansion Method for the Fourth Order Boussinesq Equation
Applied Mathematics, 2012

Copyright © 2024 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.